Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder

被引:0
作者
B. E. Morgan
J. A. Greenough
机构
[1] Lawrence Livermore National Laboratory,
来源
Shock Waves | 2016年 / 26卷
关键词
Richtmyer–Meshkov instability; Turbulent mixing; Large-eddy simulation;
D O I
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中图分类号
学科分类号
摘要
Two-dimensional numerical simulations of the Richtmyer–Meshkov unstable “shock-jet” problem are conducted using both large-eddy simulation (LES) and unsteady Reynolds-averaged Navier–Stokes (URANS) approaches in an arbitrary Lagrangian–Eulerian hydrodynamics code. Turbulence statistics are extracted from LES by running an ensemble of simulations with multimode perturbations to the initial conditions. Detailed grid convergence studies are conducted, and LES results are found to agree well with both experiment and high-order simulations conducted by Shankar et al. (Phys Fluids 23, 024102, 2011). URANS results using a k–L approach are found to be highly sensitive to initialization of the turbulence lengthscale L and to the time at which L becomes resolved on the computational mesh. It is observed that a gradient diffusion closure for turbulent species flux is a poor approximation at early times, and a new closure based on the mass-flux velocity is proposed for low-Reynolds-number mixing.
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页码:355 / 383
页数:28
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共 136 条
[11]  
Collins B(1993)Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities Phys. Fluids A 5 2239-2247
[12]  
Jacobs J(2008)The dynamics of shock accelerated light and heavy gas cylinders J. Fluid Mech. 611 131-150
[13]  
Jacobs J(2011)An experimental investigation of mixing mechanisms in shock-accelerated flow Phys. Fluids 23 024102-268
[14]  
Sheeley J(2010)Two-dimensional viscous flow simulation of a shock accelerated heavy gas cylinder Phys. Rev. E 82 056318-166
[15]  
Latini M(2010)Experimental and numerical study of shock-accelerated elliptic heavy gas cylinders Sci. China Phys. Mech. Astron. 53 262-300
[16]  
Schilling O(1987)Large eddy simulation of a shocked gas cylinder instability induced turbulence J. Fluid Mech. 177 133-79
[17]  
Don W(2006)Turbulence statistics in fully developed channel flow at low Reynolds number Phys. Fluids 18 085101-2220
[18]  
Haas J-F(2009)K–L turbulence model for the self-similar growth of the Rayleigh–Taylor and Richtmyer–Meshkov instabilitie Phys. Fluids 21 055109-51
[19]  
Sturtevant B(2009)Enthalpy diffusion in multicomponent flows J. Non-Equilib. Thermodyn. 15 295-73
[20]  
Jacobs J(2012)Self-consistent effective binary diffusion in multicomponent gas mixtures Comput. Phys. Commun. 183 70-8366